Generating function
$$U_{1395}(x, y) = \frac{\frac{y}{\left(1 - x\right)^{3}} + 1}{\left(1 - x\right)^{2}}$$
Explicit formula
$$T_{1395}(n, m, k) = {\binom{k}{m}} {\binom{2 k + 3 m + n - 1}{n}}$$
Data table
1 1 0 0 0 0 0
2 5 0 0 0 0 0
3 15 0 0 0 0 0
4 35 0 0 0 0 0
5 7 0 0 0 0 0
6 126 0 0 0 0 0
7 21 0 0 0 0 0
Export
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